cockroaches in coop

I have month old baby chicks that I recieved a few days ago and I put them out in the coop since it's so hot right now. They seem very happy- always peeping about! They stay in the roosting area and sometimes venture out into the "outdoor arena". They don't even think about the nesting boxes yet. I went out this AM to check on them and on a whim I peeked in the nesting boxes and there must have been 10 cockroaches! I know my chicks don't care, but I don't want them in there. Does anyone have any safe suggestions? I don't want to spray the roaches b/c I think my chicks are too young to be around pesticides. I haven't put out Sevin dust yet; is that all I need to do? I would appreciate any suggestions. I've had chickens before but never roaches in their coop!

We live in NC and my DH just came in from checking on our Jap that is being abused by our Ameracauns and he said our coop is full of them too. We have tried to find DE today but could'nt. We will look for it again Monday at the feed store. LOL

I would think the chickens would eat them right up. We don't have any cockroaches around here, but my chickens happily eat any hard-shelled beetley-type bug that comes along; I would think a cockroach would be no different.